3.8 KiB
3.8 KiB
| title | subtitle |
|---|---|
| Mechanics | Course of Theoretical Physics, Volume 1 By L. D. Landau and E. M. Lifschitz Translated from the Russian by J. B. Sykes and J. S. Bell |
I. THE EQUATIONS OF MOTION
- Generalized co-ordinates
- The principle of least action
- Galileos's relativity principle
- The Lagrangian for a free particle
- The Lagrangian for a system of particles II. CONSERVATION LAWS
- Energy
- Momentum
- Centre of mass
- Angular momentum
- Mechanical similarity
III. INTEGRATION OF THE EQUATIONS OF MOTION 11. Motion in one dimension 12. Determination of the potential energy from the period of oscillation 13. The reduced mass 14. Motion in a central field
🚧 WORK IN PROGRESS BELOW THIS POINT 🚧- Kepler's problem IV. COLLISION BETWEEN PARTICLES
- Disintegration of particles
- Elastic collisions
- Scattering
- Rutherford's formula
- Small-angle scattering V. SMALL OSCILLATIONS
- Free oscillations in one dimension
- Forced oscillations
- Oscillations of systems with more than one degree of freedom
- Vibrations of molecules
- Damped oscillations
- Forced oscillations under friction
- Parametric resonance
- Anharmonic oscillations
- Resonance in non-linear oscillations
- Motion in a rapidly oscillating field VI. MOTION OF A RIGID BODY
- Angular velocity
- The inertia tensor
- Angular momentum of a rigid body
- The equations of motion of a rigid body
- Eulerian angles
- Euler's equations
- The asymmetrical top
- Rigid bodies in contact
- Motion in a non-inertial frame of reference VII. THE CANONICAL EQUATIONS
- Hamilton's equations
- The Routhian
- Poisson brackets
- The action as a function of the co-ordinates
- Maupertuis' principle
- Canonical transformations
- Liouville's theorem
- The Hamilton-Jacobi equation
- Separation of the variables
- Adiabatic invariants
- General properties of motion in
sdimensions